Scala analysis: levy-03-malkaus
Ex. 3: Niaz & Faiyaz Ahmed Khan, Mālkãus
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 311.000 cents 311.000000 2: 501.000 cents 501.000000 3: 812.000 cents 812.000000 4: 1007.000 cents 1007.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 193.0000 cents 193.0000 1: 311.0000 cents 311.0000 2: 190.0000 cents 190.0000 3: 311.0000 cents 311.0000 4: 195.0000 cents 195.0000 5: 193.0000 cents 193.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 190.00000 cents 1: 1 193.00000 cents 1: 1 195.00000 cents 1: 2 311.00000 cents 2: 1 388.00000 cents 2: 2 501.00000 cents 2: 1 504.00000 cents 2: 1 506.00000 cents 3: 1 694.00000 cents 3: 1 696.00000 cents 3: 2 699.00000 cents 3: 1 812.00000 cents 4: 2 889.00000 cents 4: 1 1005.00000 cents 4: 1 1007.00000 cents 4: 1 1010.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 311.0 501.0 812.0 1007.0 1200.0 311.0 : 190.0 501.0 696.0 889.0 1200.0 501.0 : 311.0 506.0 699.0 1010.0 1200.0 812.0 : 195.0 388.0 699.0 889.0 1200.0 1007.0: 193.0 504.0 694.0 1005.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 190.0000 .. 311.0000 cents 121.00000 cents 190.00000 cents 2: 388.0000 .. 506.0000 cents 118.00000 cents 77.00000 cents 3: 694.0000 .. 812.0000 cents 118.00000 cents 188.00000 cents 4: 889.0000 .. 1010.0000 cents 121.00000 cents 77.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 190.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 311.00000 cents Average / Smallest step : 1.263158 Largest / Average step : 1.295833 Largest / Smallest step : 1.636842 Median interval of one step : 195.00000 cents, amount: 1 Most common interval of one step : 311.00000 cents, amount: 2 Least squares average step : 250.49091 cents, oct.: 1252.45455 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 311 501 812 1007 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 929 of 929.000 cents and inv. generated superset size: 111 = 106 more = 2220.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABACD Step pattern size order : DADCB Scale is a Constant Structure, by a margin of 77.00000 cents Scale diversity : 1.320624 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.601667 Rothenberg efficiency : 0.480000 redundancy: 0.520000 Efficiency x scale size : 2.400000 Number of different interval sizes : 16 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 2.00000 cents Number of recognisable fifths : 4, average 697.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% Limited inverse transpositions with margin 121.0000 cents: 3 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 56.8419 c. M: 92.0000 c. 7: 2 1 2 1 1 P M ME S SD: 27.1831 c. M:-45.1429 c. Thai mode 3 12: 3 2 3 2 2 SP M ME S SD: 7.9373 c. M: 12.0000 c. Blues Minor, Raga Malkauns (Malakosh), Raga Hindola, Man Gong, Quan Ming, Yi Ze, Jiao: China, Shegaye: Ethiopia 19: 5 3 5 3 3 SP M DE S SD: 5.2057 c. M:-9.0526 c. 31: 8 5 8 5 5 SP M DE S SD: 1.2506 c. M:-2.2258 c. 136: 35 22 35 22 22 SP M DE S SD: 1.4007 c. M: 2.1765 c. 139: 36 22 36 23 22 SP T3 SD: 1.3999 c. M:-3.0719 c. 143: 37 23 37 23 23 SP M DE S SD: 1.4448 c. M:-2.4965 c. 151: 39 24 39 25 24 SP T3 SD: 1.2947 c. M:-2.2715 c. 154: 40 24 40 25 25 SP T3 S SD: 1.5238 c. M: 2.2987 c. 158: 41 25 41 26 25 SP T3 SD: 1.4445 c. M:-3.1266 c. 161: 42 25 42 26 26 SP T3 S SD: 1.2332 c. M:-2.0435 c. 167: 43 27 43 27 27 SP M DE S SD: 1.3471 c. M: 2.0180 c. 170: 44 27 44 28 27 SP T3 SD: 1.1021 c. M:-2.4118 c. 173: 45 27 45 28 28 SP T3 S SD: 1.0457 c. M: 1.5780 c. 185: 48 29 48 30 30 SP T3 S SD: 1.1361 c. M: 1.5946 c. 192: 50 30 50 31 31 SP T3 S SD: 0.9014 c. M:-1.5000 c. 204: 53 32 53 33 33 SP T3 S SD: 0.7602 c. M: 1.1176 c. 216: 56 34 56 35 35 SP T3 S SD: 0.8819 c. M: 1.4444 c. 223: 58 35 58 36 36 SP T3 S SD: 0.6872 c. M:-1.1076 c. 235: 61 37 61 38 38 SP T3 S SD: 0.5768 c. M: 1.0426 c. 254: 66 40 66 41 41 SP T3 S SD: 0.5572 c. M:-0.8110 c. 266: 69 42 69 43 43 SP T3 S SD: 0.4712 c. M: 0.9850 c. 285: 74 45 74 46 46 SP T3 S SD: 0.4909 c. M: 0.6842 c. 297: 77 47 77 48 48 SP T3 S SD: 0.4265 c. M: 0.9394 c. 316: 82 50 82 51 51 SP T3 S SD: 0.4707 c. M: 0.6709 c. 328: 85 52 85 53 53 SP T3 S SD: 0.4246 c. M: 0.9024 c. 374: 97 59 97 61 60 SP SD: 0.3351 c. M:-0.4866 c. 386: 100 61 100 63 62 SP SD: 0.3666 c. M: 0.6010 c. 393: 102 62 102 64 63 SP SD: 0.3758 c. M:-0.6336 c. 405: 105 64 105 66 65 SP SD: 0.2313 c. M:-0.4074 c. 436: 113 69 113 71 70 SP SD: 0.1597 c. M:-0.3394 c. 467: 121 74 121 76 75 SP SD: 0.1342 c. M:-0.2805 c. 498: 129 79 129 81 80 SP SD: 0.1557 c. M:-0.2289 c. 702: 182 111 182 114 113 SP SD: 0.1105 c. M: 0.1624 c. 733: 190 116 190 119 118 SP SD: 0.0855 c. M: 0.1787 c. 1138: 295 180 295 185 183 SP SD: 0.0681 c. M: 0.1213 c. 1169: 303 185 303 190 188 SP SD: 0.0332 c. M: 0.0590 c. 1200: 311 190 311 195 193 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 55.0225 cents 3 x 4:5 x 6 S SD: 24.1397 cents 4:5 x 6:7:8 S SD: 34.6765 cents 5:6:7:8:9:10 H SD: 16.4692 cents 9:11:12:14:16:18 SD: 12.1165 cents 10:12:13:16:18:20 SD: 9.6449 cents 14:17:19:22:25:28 SD: 9.5478 cents 15:18:20:24:27:30 S SD: 2.4116 cents 42:50:56:67:75:84 SD: 2.1430 cents 47:56:63:75:84:94 SD: 2.0912 cents 57:68:76:91:102:114 SD: 1.3234 cents 62:74:83:99:111:124 SD: 1.3110 cents 72:86:96:115:129:144 SD: 1.0687 cents 77:92:103:123:138:154 SD: 1.0214 cents 92:110:123:147:165:184 SD: 0.9956 cents 107:128:143:171:191:214 SD: 0.8163 cents 117:140:156:187:209:234 SD: 0.7910 cents 122:146:163:195:218:244 SD: 0.4300 cents 137:164:183:219:245:274 SD: 0.1655 cents 289:346:386:462:517:578 SD: 0.1353 cents 346:414:462:553:619:692 SD: 0.1233 cents 483:578:645:772:864:966 SD: 0.0750 cents